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144341952 = 2633124251
BaseRepresentation
bin10001001101001…
…11101111000000
3101001121022221020
420212213233000
5243422420302
622153425440
73401613006
oct1046475700
9331538836
10144341952
1174528277
124040b280
1323b9a751
1415254a76
15ca12ebc
hex89a7bc0

144341952 has 56 divisors (see below), whose sum is σ = 394240512. Its totient is φ = 46560000.

The previous prime is 144341929. The next prime is 144341959. The reversal of 144341952 is 259143441.

144341952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144341959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6174 + ... + 18077.

Almost surely, 2144341952 is an apocalyptic number.

144341952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144341952 is an abundant number, since it is smaller than the sum of its proper divisors (249898560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144341952 is a wasteful number, since it uses less digits than its factorization.

144341952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24297 (or 24287 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 144341952 is about 12014.2395514656. The cubic root of 144341952 is about 524.5628433460.

The spelling of 144341952 in words is "one hundred forty-four million, three hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 24251 48502 72753 97004 145506 194008 291012 388016 582024 751781 776032 1164048 1503562 1552064 2255343 2328096 3007124 4510686 4656192 6014248 9021372 12028496 18042744 24056992 36085488 48113984 72170976 144341952